The volume of a sphere is given by the equation

, where r is the radius.
We are given the diameter of the sphere, but recall that the diameter is twice the radius:

. So the radius is half of the diameter:

.
Half of 8 cm is 4 cm.
We substitute this for r in the equation and we use 3.14 for <span>π.</span>
Answer:
Step-by-step explanation:
The wording "fewer than" is translated to the math symbol "less than". The variable n represents the number of students.
<em>the number of students</em> is fewer than 18
translates to ...
n < 18
__
The wording "at least" translates to the math symbol "greater than or equal to."
<em>the number of students</em> is at least 15
translates to ...
n ≥ 15
I’m pretty sure a is always and b is sometimes.
Step-by-step explanation:
Given 
To get g(x), we will have to integrate g'(x)

If g(1) = 0, this means at x = 1, g(x) = 0
0 = -1⁻¹ + C
C= 1
Substitute C = 1 into the function
g(x) = -x⁻¹ + 1
If g(2) = 0, this means at x = 2, g(x) = 0
0 = -2⁻¹ + C
C= 2⁻¹
C = 1/2
Substitute C = 2 into the function
g(x) = -x⁻¹ + 1/2